Details

sample95.0ms

Algorithm

intervals

Results

28.0ms	134×	body	160	valid
20.0ms	529×	pre	80	true
17.0ms	273×	body	80	nan
8.0ms	122×	body	80	valid

simplify74.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
26.8b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 97

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3 a) c))
17.0ms	(* (* 3 a) c)
81.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
28.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series356.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* b b) (* (* 3 a) c))
38.0ms	(* (* 3 a) c)
147.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
91.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1589
1	468
0	170

prune525.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune51.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 87

Calls

3 calls:

10.0ms	(/ (* a c) b)
22.0ms	(* -3/2 (/ (* a c) b))
42.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series102.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* a c) b)
40.0ms	(* -3/2 (/ (* a c) b))
23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5081
2	2257
1	396
0	132

prune436.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.9b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -3/2 (* a (/ c b)))
0.3b	(* a (/ c b))
0.4b	(/ (* -3/2 (* a (/ c b))) (* 3 a))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

37.0ms	(* -3/2 (* a (/ c b)))
25.0ms	(* a (/ c b))
39.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))

series78.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* -3/2 (* a (/ c b)))
23.0ms	(* a (/ c b))
22.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5033
2	2343
1	417
0	148

prune314.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.9b

regimes1.4s

Accuracy

57.6% (5.8b remaining)

Error of 14.9b against oracle of 9.0b and baseline of 22.7b

bsearch4.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	41
1	41
0	31

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	8346×	body	80	nan
875.0ms	4444×	body	160	valid
724.0ms	16346×	pre	80	true
377.0ms	3556×	body	80	valid